Also, the output of a linear dynamic system can be calculated by convolving its unit impulse response with the input signal. Performing this calculation in Laplace space turns the convolution into a multiplication, which often makes matters easier. For more information, see control theory.
The Laplace transform is named in honor of Pierre-Simon Laplace.
A sometimes convenient abuse of notation, prevailing especially among engineers and physicists, writes this in the following form:
The Laplace transform can also be used to solve differential equations.
Table of contents |
1.1 Linearity
2 See also1.2 Differentiation 1.3 Integration 1.4 s shifting 1.5 t shifting 1.6 Convolution 1.7 Laplace transform of a function with period p |
Properties
Linearity
Differentiation
Integration
s shifting
t shifting
Note: is the step function.Convolution
Laplace transform of a function with period p
See also